The number 14716
14716 is a composite number with 12 divisors. Its prime factorisation is × 13 × 283. Divisors (12): 1, 2, 4, 13, 26, 52, 283, 566, 1132, 3679, 7358, 14716.
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How to work it out
- 1
What is special about 14716: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14716 is composite. Its prime factorisation is
- 3
The divisors add up to 27832; without 14716 itself that is 13116, so 14716 is deficient (13116 is less than 14716). Euler's totient φ(14716) = 6768 numbers up to 14716 share no factor with it.
- 4
The digits of 14716 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14716 = 2^{2} \times 13 \times 283 \]14716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27832 |
| Euler totient φ(n) | 6768 |
| Square | 216560656 |
| Cube | 3186906613696 |
| Square root | 121.309521 (= 2√3679) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.4716 × |
14716 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and sixteen |
| Binary (base 2) | 11100101111100 |
| Octal (base 8) | 34574 |
| Hexadecimal (base 16) | 397C |
| Base 3 | 202012001 |
| As time | 14716 seconds = 4 h 5 min 16 s |
Is 14716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14716 ÷ 2 = 7358) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14716 ÷ 4 = 3679) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14716 a prime number?
No. 14716 = × 13 × 283, so it is divisible by 2.
What are the factors of 14716?
1, 2, 4, 13, 26, 52, 283, 566, 1132, 3679, 7358, 14716.
What is 14716 in binary?
11100101111100 (hexadecimal 397C, octal 34574).
What is the square root of 14716?
About 121.3095, exactly 2√3679.
Is 14716 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 14716?
14716 is a happy number: repeatedly adding the squares of its digits reaches 1.